I can't tell from the photo if the area on the eye is raised, or if it's flat. Either way it doesn't matter. Because you only recently got your dog, getting him examined by a vet of your choosing is always a good idea. Plus he has this eye issue that should be examined. Although I think very highly of myself, I am not a substitute for veterinary care.

The Cane Corso is a breed has a couple of eye problems that are common to the breed. Entropion is the inward curling of the eyelid so that the lashes scratch the cornea and cause irritation and eventual scarring and ulceration. Another condition is Ectropion. It's the opposite of entropion and involves the lower eyelid rolling out, exposing the sensitive tissues beneath. Though unattractive, ectropion is also not dangerous to the dog’s health unless infection occurs. The third eye condition common to the breed is called Cherry eye, which is when the gland of the 3rd eyelid becomes inflamed, swollen, and protrudes from the lower lid. It doesn't look like your dog has Cherry eye, but I thought I should mention it.

Your dog might not have any of these conditions. It may be something else such as a hemangioma (a a benign growth), or it might not be anything more than a birthmark in a very odd area, or it could be something more serious. There's no way to guess, which is why you should go for the vet exam. I'd suggest not putting off the vet visit.

If you know any other pet owners, getting a recommendation is the best way of finding a vet, if you don't already have one.

Expertise

To date, I've owned 7 dogs, all of which have lived into old age.
Having cared for them in all stages of life, I feel I can offer sound advice to other pet owners, and people considering getting a dog.
I am knowledgeable about the AKC (American Kennel Club) dog breeds, training and exercise, caring for sick and elderly pets, feeding, as well as many holistic treatments pets can benefit from.
My only request is that you write me using standard English and punctuation.

Experience

My life experience in this field is more like "on the job training" rather than an actual degree in animal welfare. You may benefit from my experiences over the past 30 years.
Aside from the dogs I've owned, I'm also involved in "breed rescue" and have fostered several dogs, all of which have been adopted to wonderful "forever homes".
I find helping people who want a dog very rewarding.

Education/CredentialsReal life experience, based on over 30 years of dog ownership.